{"id":"https://openalex.org/W3115944844","doi":"https://doi.org/10.1109/access.2020.3047986","title":"Linear Iterative Power Flow Approach Based on the Current Injection Model of Load and Generator","display_name":"Linear Iterative Power Flow Approach Based on the Current Injection Model of Load and Generator","publication_year":2020,"publication_date":"2020-12-29","ids":{"openalex":"https://openalex.org/W3115944844","doi":"https://doi.org/10.1109/access.2020.3047986","mag":"3115944844"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.3047986","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3047986","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09310684.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09310684.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048779761","display_name":"Behzad Zargar","orcid":"https://orcid.org/0000-0003-2614-8559"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Behzad Zargar","raw_affiliation_strings":["Institute for Automation of Complex Power Systems, E.ON Energy Research Center, RWTH Aachen University, Aachen, Germany"],"raw_orcid":"https://orcid.org/0000-0003-2614-8559","affiliations":[{"raw_affiliation_string":"Institute for Automation of Complex Power Systems, E.ON Energy Research Center, RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030410007","display_name":"Antonello Monti","orcid":"https://orcid.org/0000-0003-1914-9801"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Antonello Monti","raw_affiliation_strings":["Institute for Automation of Complex Power Systems, E.ON Energy Research Center, RWTH Aachen University, Aachen, Germany"],"raw_orcid":"https://orcid.org/0000-0003-1914-9801","affiliations":[{"raw_affiliation_string":"Institute for Automation of Complex Power Systems, E.ON Energy Research Center, RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043977449","display_name":"Ferdinanda Ponci","orcid":"https://orcid.org/0000-0003-0431-9169"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Ferdinanda Ponci","raw_affiliation_strings":["Institute for Automation of Complex Power Systems, E.ON Energy Research Center, RWTH Aachen University, Aachen, Germany"],"raw_orcid":"https://orcid.org/0000-0003-0431-9169","affiliations":[{"raw_affiliation_string":"Institute for Automation of Complex Power Systems, E.ON Energy Research Center, RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051048368","display_name":"Jos\u00e9 R. Mart\u00ed","orcid":"https://orcid.org/0000-0003-3811-3687"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jose R. Marti","raw_affiliation_strings":["The University of British Columbia, Vancouver, Canada"],"raw_orcid":"https://orcid.org/0000-0003-3811-3687","affiliations":[{"raw_affiliation_string":"The University of British Columbia, Vancouver, Canada","institution_ids":["https://openalex.org/I141945490"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5048779761"],"corresponding_institution_ids":["https://openalex.org/I887968799"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.5201,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.66333202,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"9","issue":null,"first_page":"11543","last_page":"11562"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.7395098209381104},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.580123245716095},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.5590029954910278},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5572707653045654},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5517048835754395},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.5453353524208069},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5378317832946777},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4886096119880676},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.4844522476196289},{"id":"https://openalex.org/keywords/operating-point","display_name":"Operating point","score":0.4832492470741272},{"id":"https://openalex.org/keywords/iterative-and-incremental-development","display_name":"Iterative and incremental development","score":0.4599217176437378},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4419623017311096},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.428928017616272},{"id":"https://openalex.org/keywords/ac-power","display_name":"AC power","score":0.42324990034103394},{"id":"https://openalex.org/keywords/linear-equation","display_name":"Linear equation","score":0.4179174602031708},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.39456382393836975},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3889275789260864},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37861210107803345},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3054514527320862},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28701743483543396},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.16219189763069153},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1388862133026123},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08976054191589355}],"concepts":[{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.7395098209381104},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.580123245716095},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.5590029954910278},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5572707653045654},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5517048835754395},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.5453353524208069},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5378317832946777},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4886096119880676},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.4844522476196289},{"id":"https://openalex.org/C22762622","wikidata":"https://www.wikidata.org/wiki/Q628904","display_name":"Operating point","level":2,"score":0.4832492470741272},{"id":"https://openalex.org/C143587482","wikidata":"https://www.wikidata.org/wiki/Q1543216","display_name":"Iterative and incremental development","level":2,"score":0.4599217176437378},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4419623017311096},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.428928017616272},{"id":"https://openalex.org/C108755667","wikidata":"https://www.wikidata.org/wiki/Q1930258","display_name":"AC power","level":3,"score":0.42324990034103394},{"id":"https://openalex.org/C77346573","wikidata":"https://www.wikidata.org/wiki/Q484637","display_name":"Linear equation","level":2,"score":0.4179174602031708},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.39456382393836975},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3889275789260864},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37861210107803345},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3054514527320862},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28701743483543396},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.16219189763069153},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1388862133026123},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08976054191589355},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2020.3047986","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3047986","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09310684.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:4d8457497421466baf0274f17d5194f1","is_oa":true,"landing_page_url":"https://doaj.org/article/4d8457497421466baf0274f17d5194f1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 9, Pp 11543-11562 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.3047986","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3047986","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09310684.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.550000011920929,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3115944844.pdf","grobid_xml":"https://content.openalex.org/works/W3115944844.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W607713943","https://openalex.org/W636856703","https://openalex.org/W1566965859","https://openalex.org/W1967428359","https://openalex.org/W1975153904","https://openalex.org/W1984452440","https://openalex.org/W1999562671","https://openalex.org/W2061525747","https://openalex.org/W2067584824","https://openalex.org/W2085539369","https://openalex.org/W2099517607","https://openalex.org/W2104246527","https://openalex.org/W2132997086","https://openalex.org/W2153766512","https://openalex.org/W2168283238","https://openalex.org/W2329301595","https://openalex.org/W2334439829","https://openalex.org/W2339497397","https://openalex.org/W2432517183","https://openalex.org/W2565958257","https://openalex.org/W2622952038","https://openalex.org/W2766418970","https://openalex.org/W2958661383"],"related_works":["https://openalex.org/W4378530816","https://openalex.org/W2498640783","https://openalex.org/W132953517","https://openalex.org/W2022562732","https://openalex.org/W1495035728","https://openalex.org/W4230069278","https://openalex.org/W2034475059","https://openalex.org/W2026748623","https://openalex.org/W2358921742","https://openalex.org/W2113687319"],"abstract_inverted_index":{"Power":[0],"flow":[1],"(PF)":[2],"is":[3,43,101],"a":[4,34,44,61,74,81,88,157],"fundamental":[5],"tool":[6],"for":[7],"operation,":[8],"automation":[9],"and":[10,50,155],"optimization":[11],"of":[12,20,77,91,95,107,134],"the":[13,18,21,25,39,52,68,104,115,123,135,149],"power":[14],"systems.":[15],"Due":[16],"to":[17],"nonlinearity":[19],"PF":[22,27,53,137],"system":[23,90,154],"equations,":[24,41],"classical":[26],"solutions":[28],"are":[29,85],"computationally":[30],"very":[31],"demanding.":[32],"As":[33],"common":[35],"approach":[36],"in":[37,72,87,111,129,162],"solving":[38],"nonlinear":[40],"linearization":[42],"potential":[45],"technique":[46,71,125],"which":[47,73],"can":[48],"simplify":[49],"accelerate":[51],"calculations.":[54],"In":[55],"this":[56,58,112,130],"context,":[57],"paper":[59],"proposes":[60],"linear":[62,92],"fast":[63],"iterative":[64],"method":[65,100,138],"based":[66,121],"on":[67,122,148,156],"fixed-point":[69],"iteration":[70],"linearized":[75],"model":[76,84,120],"generator":[78,108],"along":[79],"with":[80,142],"ZI":[82,118],"load":[83,119],"integrated":[86],"simplified":[89],"equations":[93],"(SLE)":[94],"Yv=i":[96],".":[97],"The":[98,132],"relaxation":[99],"used":[102],"during":[103],"deriving":[105],"process":[106],"equivalent":[109],"current":[110],"approach.":[113],"However,":[114],"already":[116],"developed":[117],"curve-fitting":[124],"has":[126,139],"been":[127,140],"exploited":[128],"work.":[131],"accuracy":[133],"proposed":[136],"compared":[141],"calculated":[143],"results":[144],"from":[145],"DIgSILENT":[146],"PowerFactory":[147],"benchmark":[150],"IEEE":[151],"33-bus":[152],"test":[153],"large":[158],"medium":[159],"voltage":[160],"network":[161],"Germany.":[163]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":5}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}